Atkin-Lehner |
2+ 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512n |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
13095936 |
Modular degree for the optimal curve |
Δ |
-5.1512205689842E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12694677,-29821627001] |
[a1,a2,a3,a4,a6] |
Generators |
[304195:-15554187:125] [2555:138897:1] |
Generators of the group modulo torsion |
j |
19397294832612610529024/44163413657272010871 |
j-invariant |
L |
11.17873941178 |
L(r)(E,1)/r! |
Ω |
0.048101561482389 |
Real period |
R |
0.69166273926016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504s1 |
Quadratic twists by: -3 |